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Finding the Fourth Proportional to 2,299.43, 3,449.72 and 739.57

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Solution

The fourth proportional to 2,299.43, 3,449.72 and 739.57 is: 1,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.43 : 3,449.72 = 739.57 : x
  2. Step 2: Convert to fraction form
    2,299.43/3,449.72 = 739.57/x
  3. Step 3: Cross multiply
    2,299.43x = 3,449.72 × 739.57
  4. Step 4: Simplify right side
    2,299.43x = 2,551,309.42
  5. Step 5: Solve for x
    x = 2,551,309.42/2,299.43
  6. Step 6: Final answer
    x = 1,109.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.